搜索结果: 91-105 共查到“知识库 常微分方程”相关记录552条 . 查询时间(1.588 秒)
Hodge-de Rham Theory on Fractal Graphs and Fractals
Analysis on fractals Sierpinski gasket Hodge-deRham theory k-forms harmonic 1-forms fractal graphs
2012/6/25
We present a new approach to the theory of k-forms on self-similar fractals. We work out the details for two examples, the standard Sierpinski gasket and the 3-dimensional Sierpinski gasket, but the m...
A new Kontorovich-Lebedev-like transformation
Kontorovich-Lebedev transform modified Bessel functions Mellin transform Laplace trans-form convolution
2012/6/21
A different application of the familiar integral representation for the modifed Bessel function drives to a new Kontorovich-Lebedev-like integral transformation of a general complex index. Mapping and...
Integral and series transformations via Ramanujan's identities and Salem's type equivalences to the Riemann hypothesis
Mellin transform Riemann zeta-function Kontorovich-Lebedev transform modified Bessel functions Lambert transform
2012/6/21
We consider integral and series transformations, which are associated with Ramanujan's identities, involving various arithmetic functions and a ratio of products of Riemann's zeta functions of differe...
Uncertainty principles for integral operators
Uncertainty principles annihilating pairs Dunkl transform Fourier-Clifford transform integral operators
2012/6/25
The aim of this paper is to prove new uncertainty principles for an integral operator $\tt$ with a bounded kernel for which there is a Plancherel theorem. The first of these results is an extension of...
The local Tb theorem with rough test functions
local Tb theorem test functions Classical Analysis and ODEs
2012/6/21
We prove a version of the local Tb theorem under minimal integrability assumptions, answering a question of S. Hofmann (El Escorial, 2008): Every cube is assumed to support two non-degenerate function...
Slowly oscillating wavefronts of the KPP-Fisher delayed equation
KPP-Fisher delayed reaction-diffusion equation slow oscillations non-monotone positive traveling front existence
2012/6/19
This paper concerns the semi-wavefronts (i.e. bounded solutions $u=\phi(x \nu +ct) >0,$ $ |\nu|=1, $ satisfying $\phi(-\infty)=0$) to the delayed KPP-Fisher equation $$u_t(t,x) = \Delta u(t,x) + u(t,x...
两边空间-时间分数阶扩散方程的加权有限差分格式
分数阶扩散方程 空间-时间分数阶导数 加权差分格式 收敛性 稳定性
2014/1/10
对于空间-时间分数阶扩散方程的初边值问题提出了一种加权差分格式. 利用能量估计, 得到了差分格式的稳定性. 然后使用数学归纳法证明了在相同的条件下, 所提出的的格式是收敛的. 最后通过一个例子说明了所提出的格式是可靠的、有效的.
An Optimal Inequality For The Tangent Function
inequality tangent function power series expansion
2012/5/24
In this note we deal with some inequalities for the tangent function that are valid for $x$ in $(-\pi/2,\pi/2)$. These inequalities are optimal in the sense that the best values of the exponents invol...
In this note we prove optimal inequalities for bounded functions in terms of their deviation from their mean. These results extend and generalize some known inequalities due to Thong (2011) and Perfet...
The theory of Hahn meromorphic functions, a holomorphic Fredholm theorem and its applications
Hahn meromorphic functions holomorphic Fredholm theorem its applications Classical Analysis and ODEs
2012/5/9
We introduce a class of functions near zero on the logarithmic cover of the complex plane that have convergent expansions into generalized power series. These power series are general enough to cover ...
On uniform continuous dependence of solution of Cauchy problem on a parameter
uniform continuity equicontinuity Classical Analysis and ODEs
2012/5/9
Suppose that an $n$-dimensional Cauchy problem \frac{dx}{dt}=f(t,x,\mu) (t \in I, \mu \in M), x(t_0)=x^0 satisfies the conditions that guarantee existence, uniqueness and continuous dependence of solu...
A quantitative Balian-Low theorem
quantitative Balian-Low theorem Classical Analysis and ODEs
2012/5/9
We study functions generating Gabor Riesz bases on the integer lattice. The classical Balian-Low theorem restricts the simultaneous time and frequency localization of such functions. We obtain a quant...
Norm inequalities for square functions in some Morrey's subspaces
amalgams spaces Morrey spaces commutator g-function of Littlewood-Paley Lusin area function
2012/5/9
We prove that the intrinsic square function and the intrinsic Littlewood-Paley $g^{\ast}_{\lambda}$-function as defined by Wilson, are bounded in a family of weighted subspaces of Morrey spaces. The c...
2n阶时滞微分方程周期解的存在性
2n阶边值问题 先验边界 周期解
2012/11/13
利用上下解方法研究2n阶时滞微分方程周期边值问题, 建立了2n(n≥1)阶时滞微分方程周期边值问题解存在的充分条件.
Approximation of functions from Lp(w)b by matrix means of their Fourier series
Rate of approximation summability of Fourier series Lipschitz classes
2012/4/16
We formulate some special conditions for the integrable functions and moduli of continuity. We give the results on rate of approximation of such functions by matrix means of their Fourier series, wher...